Question

Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b) 12(18) + 12(5) c) 12(1) + 12(8) + 12(5) d) 12(100) + 12(80) + 12(5)

Answer 1

Answer: Option 'D' is correct.

Explanation:

Since we have given that

12(185)

Firstly we can write

185=100+80+5

So, it will be rewritten as

12(100+80+5)

As we know that distributive law that implies

a(b+c+d)=ab+ac+ad

So, according to distributive law, it becomes,

12(100)+12(80)+12(5)

Hence, option 'd' is correct.

Answer 2

d) 12(100) + 12(80) + 12(5)

Explanation:

According to the distributive property, if a,b, c, and d are real numbers, then

a(b+c+d)=ab+ac+ad

We want to find the product 12(185).

We can expand 185 as 100+80+5

Our product then becomes;

`12(185)=12(100+80+5)`

We expand using the distributive property to get;

`12(185)=12(100)+12(80)+12(5)`

The correct choice is D